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Finding the Fourth Proportional to 202,284.76, 303,820.86 and 164,872.48

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Solution

The fourth proportional to 202,284.76, 303,820.86 and 164,872.48 is: 247,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,284.76 : 303,820.86 = 164,872.48 : x
  2. Step 2: Convert to fraction form
    202,284.76/303,820.86 = 164,872.48/x
  3. Step 3: Cross multiply
    202,284.76x = 303,820.86 × 164,872.48
  4. Step 4: Simplify right side
    202,284.76x = 50,091,698,663.93
  5. Step 5: Solve for x
    x = 50,091,698,663.93/202,284.76
  6. Step 6: Final answer
    x = 247,629.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.